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Andreas93 [3]
3 years ago
7

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

x=2√5

Step-by-step explanation:

<u>1st method:</u>

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

<u>2nd method:</u>

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

<u>3rd method:</u>

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

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It candy company plans to hang posters of a new product in supermarkets. The product is a box of premium chocolates. The art tea
prohojiy [21]
He answer to this question is:A. The length is 8 inches, and the width is 5 inches.
The scale factor can be found in the question, "the art team made a scale drawing of the top of the box using a scale of 3 inches to 1 inch". This means the scale drawing should be divided by a scale factor of 3:1 (simplified into 3). 
The scale factor is then divided with the components provided (24 inches in length, 15 inches in width).
(24/3) = 8 inches(15/3) = 5 inches
Your answer is length = 8 inches, width = 5 inches.
 hope this helps u
3 0
3 years ago
9x + Зу = -3<br> 2х - у = -4
Irina18 [472]
Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
x=-1

2(-1) - y = -4
-2-y=-4
-y=-2
y=2
5 0
2 years ago
The probability that a can of paint contains contamination is 3.23%, and the probability of a mixing error is 2.4%. The probabil
stich3 [128]

Answer:

4.6%.

Step-by-step explanation:

The probability that a can of paint contains contamination(C) is 3.23%

P(C)=3.23%

The probability of a mixing(M) error is 2.4%.

P(M)=2.4%

The probability of both is 1.03%.

P(C \cap M)=1.03\%

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. P(C \cup M)

In probability theory:

P(C \cup M) = P(C)+P(M)-P(C \cap M)\\P(C \cup M)=3.23+2.4-1.03\\P(C \cup M)=4.6\%

The probability that a randomly selected can has contamination or a mixing error is 4.6%.

3 0
3 years ago
Mrs. Stevenson wants to split her class into 4 teams: Team A, Team B, Team C, and Team D. There are 28 students in her class. To
olga_2 [115]
The probability that both of the students are on Team D is about 5.56%

There are 4 teams, so the first person has a 1/4 chance of being on Team D.

However, for the second person, there are only 6 spots left out of 27 to be on Team D.

To find the combined probability, we need to multiply the two fractions.

1/4 times 6/27 = 1/18 or about 5.56%
3 0
3 years ago
Does anyone know 1/4 x ? = -2?
SSSSS [86.1K]

Answer:

-8

Step-by-step explanation:

1/4 x = -2

You want the value of x. x is being multiplied by 1/4. To get x alone on the left side, you need to divide both sides by 1/4. Dividing by 1/4 is the same as multiplying by 4.

Multiply both sides of the equation by 4.

4 * 1/4 x = -2 * 4

4 * 1/4 = 1, so on the left side you get 1x which is just x.

x = 8

Answer: -8

8 0
2 years ago
Read 2 more answers
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